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An extension of the theorem of Milnor and Thurston on the zeta functions of interval maps

Published online by Cambridge University Press:  19 September 2008

V. Baladi  and
D. Ruelle
V. Baladi
Affiliation:
CNRS, UMR 128, UMPA, ENS Lyon, 46, llée d'ltalie, F-69364 Lyon Cedex 07, France
D. Ruelle
Affiliation:
Institut des Hautes Études Scientifiques, F-91440 Bures-sur-Yvette, France
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Abstract

We consider a piecewise continuous, piecewise monotone interval map and a piecewise constant weight. With these data we associate a weighted kneading matrix which generalizes the Milnor—Thurston matrix. We show that the determinant of this matrix is related to a natural weighted zeta function.

Type
Research Article
Information
Ergodic Theory and Dynamical Systems , Volume 14 , Issue 4 , December 1994 , pp. 621 - 632
Copyright
Copyright © Cambridge University Press 1994

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References

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